More recently, Linares and Ponce [1]} proved a unique continuation result for the solutions of the CH equation, which can be summarised as: If there exists an open set in which \(u\)  is defined and vanishes there, then the solution vanishes everywhere. Shortly after, their ideas were retaken by the author [2]}, but now with focus on the the Dulling-Gottwald-Holm (DGH) equation (that has the CH equation (REF ) as a particular member).
